Flashcards Math
=
1 (3 x 3 x 3 x 3 x 3)
Note: Negative powers basically mean “put a 1 over the same base raised to the positive power.”
1 35 =3x3x3x3x3
35
3(-5)
=
35
3(-5)
...cannot be divided into other numbers.
...is an INTEGER.
...is EVEN.
...is NEITHER POSITIVE NOR NEGATIVE.
the number “0”
Note: A set of numbers can have MORE THAN ONE mode.
The most frequently occurring number(s) in a set.
mode
mode
the number zero (“0”)
16 16 =1 Note: A base of “1” raised to any power equals “1.”
014
=0
Note: A base of “0” raised to any power EXCEPT FOR “0” equals “0.” 0 0 = “undefined”
Note: Any base raised to the power of “1” equals itself
=3
31
31
014
00 = “undefined”
Note: Any base EXCEPT FOR “0” raised to the power of “0” equals “1.”
=1
30
30
= -3 × -3 = 9 Note: A negative base raised to an EVEN power is POSITIVE.
(-3)3 = -3 × -3 × -3 = -27 Note: A negative base raised to an ODD power is NEGATIVE.
35 × 34
= 39
= 3(5+4)
= (3 × 3 × 3 × 3 × 3) × (3 × 3 × 3 × 3)
(-3)2
(-3)3
(-3)2
35 × 34
=
3 3 3 x x 4 4 4
3 ( )3 4
3 ( )3 4
5
DENOMINATOR of power
= 3
2
3
5
NUMERATOR of power
= 35y5
= (3 × 3 × 3 × 3 × 3) × (y × y × y × y × y)
= (3 × y) × (3 × y) × (3 × y) × (3 × y) × (3 × y)
(3y)
(3y)5 5
= 315
= (3 × 3 × 3 × 3 × 3) × (3 × 3 × 3 × 3 × 3) × (3 × 3 × 3 × 3 × 3) = 3(5×3)
(35)3
(35)3
32
5 2
= 31
= 3(5-4)
= (3 × 3 × 3 × 3 × 3) / (3 × 3 × 3 × 3)
35 34
35 34
Circumference = 2 π × (Radius) = 2πr
Area = π(Radius)2 = πr2
Side
Perimeter = Sum all 4 sides (4 × Side)
Area = Side × Side
Side
circle
Radius
square square
Length
Perimeter = Sum all 4 sides [(2 × Length) + (2 × Width)]
Area = Length × Width (or Base × Height)
Width
rectangle
rectangle
circle
SLOPE =
how much the x-value changes between the two points
rise y2 – y1 = run x 2 – x1
how much the y-value changes between the two points
slope
slope
All positive whole numbers, negative whole numbers, and zero. For example... { . . . –3, –2, –1, 0, 1, 2, 3 . . . }
An integer that divides evenly into another integer. For example... 1, 2, and 3 are factors of 6.
An integer that can be divided by a smaller integer with no remainder For example... 12 and 18 are multiples of 6.
For example... { 2, 3, 5, 7, 11, 13 . . . }
A positive integer with exactly two distinct factors: 1 and itself
integer
factor
multiple
prime number
factor
multiple
integer
prime number
Note: • Numbers must be IN ORDER. • In an even-numbered set, the median is the AVERAGE (mean) of the two middle numbers.
Average =
Sum of Things # of Things
average
median
The middle number in an ordered set.
average
(aritmetic mean)
median
The set of integers 1–5 exclusive = {2, 3, 4}.
The set of integers 1–5 inclusive = {1, 2, 3, 4, 5}.
inclusive/exclusive
x
x° x° x
To cut an angle or a line segment exactly in half
bisect
bisect
inclusive/ exclusive
x
x
x 3
30-60-90
60
x
45
x 2
2x
45-45-90
45
30
(x + y)2 = x2 + 2xy + y2 (x – y)2 = x2 – 2xy + y2 (x + y)(x – y) = x2 – y2
FOIL identities
special right triangles
1 x Base x Height 2 Perimeter = Sum all 3 sides
Area =
Base
Height
triangle
triangle
FOIL identities
special right triangles
equilateral
60°
60°
60°
All three angles the same measure (60°), all three sides the same length.
a
pythagorean theorem b
c
a2 + b2 = c2
pythagorean theorem
Difference Percent = x 100% Change Original
percent change
percent change
equilateral
The total number of degrees in a straight line is 180 degrees.
The sum of the angles in any triangle is 180 degrees.
the rule of 180°
the rule of 180°
isosceles
Two angles the same measure, two sides (opposite those angles) the same length. Combination =
nCr
Order DOES NOT matter.
combination
Probability =
Desired Outcomes Total Outcomes
probability
probability combination
isosceles
Distance = Rate x Time
rate
rate
Permutation =
nPr
Order DOES matter.
permutation
permutation
1 (3 x 3 x 3 x 3 x 3)
Note: Negative powers basically mean “put a 1 over the same base raised to the positive power.”
1 35 =3x3x3x3x3
35
3(-5)
=
35
3(-5)
...cannot be divided into other numbers.
...is an INTEGER.
...is EVEN.
...is NEITHER POSITIVE NOR NEGATIVE.
the number “0”
Note: A set of numbers can have MORE THAN ONE mode.
The most frequently occurring number(s) in a set.
mode
mode
the number zero (“0”)
16 16 =1 Note: A base of “1” raised to any power equals “1.”
014
=0
Note: A base of “0” raised to any power EXCEPT FOR “0” equals “0.” 0 0 = “undefined”
Note: Any base raised to the power of “1” equals itself
=3
31
31
014
00 = “undefined”
Note: Any base EXCEPT FOR “0” raised to the power of “0” equals “1.”
=1
30
30
= -3 × -3 = 9 Note: A negative base raised to an EVEN power is POSITIVE.
(-3)3 = -3 × -3 × -3 = -27 Note: A negative base raised to an ODD power is NEGATIVE.
35 × 34
= 39
= 3(5+4)
= (3 × 3 × 3 × 3 × 3) × (3 × 3 × 3 × 3)
(-3)2
(-3)3
(-3)2
35 × 34
=
3 3 3 x x 4 4 4
3 ( )3 4
3 ( )3 4
5
DENOMINATOR of power
= 3
2
3
5
NUMERATOR of power
= 35y5
= (3 × 3 × 3 × 3 × 3) × (y × y × y × y × y)
= (3 × y) × (3 × y) × (3 × y) × (3 × y) × (3 × y)
(3y)
(3y)5 5
= 315
= (3 × 3 × 3 × 3 × 3) × (3 × 3 × 3 × 3 × 3) × (3 × 3 × 3 × 3 × 3) = 3(5×3)
(35)3
(35)3
32
5 2
= 31
= 3(5-4)
= (3 × 3 × 3 × 3 × 3) / (3 × 3 × 3 × 3)
35 34
35 34
Circumference = 2 π × (Radius) = 2πr
Area = π(Radius)2 = πr2
Side
Perimeter = Sum all 4 sides (4 × Side)
Area = Side × Side
Side
circle
Radius
square square
Length
Perimeter = Sum all 4 sides [(2 × Length) + (2 × Width)]
Area = Length × Width (or Base × Height)
Width
rectangle
rectangle
circle
SLOPE =
how much the x-value changes between the two points
rise y2 – y1 = run x 2 – x1
how much the y-value changes between the two points
slope
slope
All positive whole numbers, negative whole numbers, and zero. For example... { . . . –3, –2, –1, 0, 1, 2, 3 . . . }
An integer that divides evenly into another integer. For example... 1, 2, and 3 are factors of 6.
An integer that can be divided by a smaller integer with no remainder For example... 12 and 18 are multiples of 6.
For example... { 2, 3, 5, 7, 11, 13 . . . }
A positive integer with exactly two distinct factors: 1 and itself
integer
factor
multiple
prime number
factor
multiple
integer
prime number
Note: • Numbers must be IN ORDER. • In an even-numbered set, the median is the AVERAGE (mean) of the two middle numbers.
Average =
Sum of Things # of Things
average
median
The middle number in an ordered set.
average
(aritmetic mean)
median
The set of integers 1–5 exclusive = {2, 3, 4}.
The set of integers 1–5 inclusive = {1, 2, 3, 4, 5}.
inclusive/exclusive
x
x° x° x
To cut an angle or a line segment exactly in half
bisect
bisect
inclusive/ exclusive
x
x
x 3
30-60-90
60
x
45
x 2
2x
45-45-90
45
30
(x + y)2 = x2 + 2xy + y2 (x – y)2 = x2 – 2xy + y2 (x + y)(x – y) = x2 – y2
FOIL identities
special right triangles
1 x Base x Height 2 Perimeter = Sum all 3 sides
Area =
Base
Height
triangle
triangle
FOIL identities
special right triangles
equilateral
60°
60°
60°
All three angles the same measure (60°), all three sides the same length.
a
pythagorean theorem b
c
a2 + b2 = c2
pythagorean theorem
Difference Percent = x 100% Change Original
percent change
percent change
equilateral
The total number of degrees in a straight line is 180 degrees.
The sum of the angles in any triangle is 180 degrees.
the rule of 180°
the rule of 180°
isosceles
Two angles the same measure, two sides (opposite those angles) the same length. Combination =
nCr
Order DOES NOT matter.
combination
Probability =
Desired Outcomes Total Outcomes
probability
probability combination
isosceles
Distance = Rate x Time
rate
rate
Permutation =
nPr
Order DOES matter.
permutation
permutation
